Recent content by catapax

  1. C

    Can You Simplify Limits Using Big O Notation?

    lim (e^x-sin(x)-cos(x))/(e^(x^2)-e^(x^3)), x->0 = lim (1+x+o(x)-x+o(x)+1/2(x^2)-1+o(x^2))/((x^2)+1+o(x^2)-1-(x^3)+o(x^3)), x->0 = lim 1/2(x^2)/(x^2+o(x^2)), x->0 = 1/2 is it correct?
  2. C

    Limit without using de l'hopital

    sorry for x→0±
  3. C

    Limit without using de l'hopital

    how can i solve lim (1+2^1/x)/(3+2^1/x) without using de l'hopital?
  4. C

    Solving Limit of log(sin(x))/log(x) without L'Hopital's Rule

    ok, i succeed doing it, thank you!
  5. C

    Solving Limit of log(sin(x))/log(x) without L'Hopital's Rule

    i tried to solve the limit in this way, but i think it is not correct: logx=y, so lim log(sin(e))^y/y => lim log(sin(e))... but it is wrong, the results should be 1
  6. C

    Solving Limit of log(sin(x))/log(x) without L'Hopital's Rule

    Hello, i am new here and this is my first post, so please bear with me for any mistakes or so... and sorry for my english that is not so good now my question is about the solution of this limit: lim log(sin(x))/log(x) x->0, without using de l'hopital... thank you in advance